03709nam 22007815 450 991089797960332120260121125437.09783031631900303163190010.1007/978-3-031-63190-0(CKB)36383529900041(DE-He213)978-3-031-63190-0(MiAaPQ)EBC31733027(Au-PeEL)EBL31733027(EXLCZ)993638352990004120241019d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierProbability Theory I Random Variables and Distributions /by Andrea Pascucci1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (XXI, 382 p. 24 illus., 16 illus. in color.)La Matematica per il 3+2,2038-5757 ;1659783031631894 3031631897 Includes bibliographical references and index.1 Measures and probability spaces -- 2 Random variables -- 3 Sequences of random variables -- 4 Conditional probability -- 5 Summary exercises -- Appendix A: Dynkin’s theorems -- Appencix B: Absolute continuity -- Appendix C: Uniform integrability.This book provides a concise yet rigorous introduction to probability theory. Among the possible approaches to the subject, the most modern approach based on measure theory has been chosen: although it requires a higher degree of mathematical abstraction and sophistication, it is essential to provide the foundations for the study of more advanced topics such as stochastic processes, stochastic differential calculus and statistical inference. The text originated from the teaching experience in probability and applied mathematics courses within the mathematics degree program at the University of Bologna; it is suitable for second- or third-year students in mathematics, physics, or other natural sciences, assuming multidimensional differential and integral calculus as a prerequisite. The four chapters cover the following topics: measures and probability spaces; random variables; sequences of random variables and limit theorems; and expectation and conditional distribution. The text includes a collection of solved exercises.La Matematica per il 3+2,2038-5757 ;165Stochastic processesMathematical physicsProbabilitiesEconometricsMathematicsStochastic ProcessesTheoretical, Mathematical and Computational PhysicsProbability TheoryQuantitative EconomicsMathematicsProbabilitatsthubProcessos estocàsticsthubXarxes neuronals (Informàtica)thubLlibres electrònicsthubStochastic processes.Mathematical physics.Probabilities.Econometrics.Mathematics.Stochastic Processes.Theoretical, Mathematical and Computational Physics.Probability Theory.Quantitative Economics.Mathematics.ProbabilitatsProcessos estocàsticsXarxes neuronals (Informàtica)519.2Pascucci Andrea475297MiAaPQMiAaPQMiAaPQBOOK9910897979603321Probability Theory I4215128UNINA